Elementary Linear AlgebraWiley, 6 de jan. de 2000 - 608 páginas A first course in linear algebra for mathematics, engineering and computer science students. Praised over many editions for its expository style and clarity of presentation, the revision of this best-selling text combines linear algebra theory with applications, and addresses a new generation of students' changing needs. . This text can be used in a first or second year 1- or 2- semester course. Calculus is not a prerequisite, but there are exercises, examples, and applications for students with calculus backgrounds; they are clearly marked and can be omitted with no loss of continuity. |
Conteúdo
Contents | 1 |
DETERMINANTS | 81 |
VECTORS IN 2SPACE AND 3SPACE | 119 |
Direitos autorais | |
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3-space angle augmented matrix Axiom b₁ basis vectors coefficient column space column vectors complex numbers compute corresponding defined denoted det(A determinant diagonal diagonalizable eigenspace eigenvalues eigenvectors elementary matrices entries Euclidean inner product EXAMPLE Exercise Set expressed factor Figure following theorem formula functions Gauss-Jordan elimination geometric inner product space integer invertible invertible matrix k₁ least squares linear combination linear equations linear operator linear transformation linearly independent n x n matrix nonzero vector nullity nullspace obtain one-to-one orthogonal projection orthonormal basis P₁ P₂ plane polynomial projw Proof Prove quadratic form real numbers reduced row-echelon form result rotation row space scalar multiplication Section set of vectors Show solution of Ax solve span square matrix standard basis standard matrix subspace symmetric matrix T₁ T₂ technology utility u₁ u₂ upper triangular v₁ v₂ vector space verify w₁ w₂ x-axis x₁ xy-plane zero